Fixed-node quantum Monte Carlo
- 1 March 1995
- journal article
- research article
- Published by Taylor & Francis in International Reviews in Physical Chemistry
- Vol. 14 (1) , 85-112
- https://doi.org/10.1080/01442359509353305
Abstract
Quantum Monte Carlo methods cannot at present provide exact solutions of the Schrödinger equation for systems with more than a few electrons. But, quantum Monte Carlo calculations can provide very low energy, highly accurate solutions for many systems ranging up to several hundred electrons. These systems include atoms such as Be and Fe, molecules such as H2O, CH4, and HF, and condensed materials such as solid N2 and solid silicon. The quantum Monte Carlo predictions of their energies and structures may not be ‘exact’, but they are the best available. Most of the Monte Carlo calculations for these systems have been carried out using approximately correct fixed nodal hypersurfaces and they have come to be known as ‘fixed-node quantum Monte Carlo’ calculations. In this paper we review these ‘fixed node’ calculations and the accuracies they yield.Keywords
This publication has 100 references indexed in Scilit:
- Multireference configuration-interaction potential surfaces for the collinear F+H2 reactionThe Journal of Chemical Physics, 1992
- Core polarization in aluminumThe Journal of Physical Chemistry, 1990
- Infinitesimal differential diffusion quantum Monte Carlo: Diatomic molecular propertiesThe Journal of Chemical Physics, 1990
- Theoretical studies of the potential surface for the F+H2→HF+H reactionThe Journal of Chemical Physics, 1988
- The domain Green’s function methodThe Journal of Chemical Physics, 1986
- An accurate variational wave function for lithium hydrideThe Journal of Physical Chemistry, 1984
- Quantum chemistry by random walk: Importance sampling for H+3The Journal of Chemical Physics, 1981
- Quantum chemistry by random walk: Higher accuracyThe Journal of Chemical Physics, 1980
- Quantum chemistry by random walk: H4 squareInternational Journal of Quantum Chemistry, 1979
- Monte Carlo Calculations of the Ground State of Three- and Four-Body NucleiPhysical Review B, 1962